Viorel Barbu

Articles in Scholarly Journals [Incomplete List]

  1. The stochastic obstacle problem for the harmonic oscillator with damping
    Journal of Functional Analysis, vol. 235, no. 2, pp. 430–448, 2006
  2. Weak solutions to the stochastic porous media equation via Kolmogorov equations: The degenerate case
    Journal of Functional Analysis, vol. 237, no. 1, pp. 54–75, 2006
  3. Optimal stopping-time problem for stochastic Navierâ??Stokes equations and infinite-dimensional variational inequalities
    Nonlinear Analysis, vol. 64, no. 5, pp. 1018–1024, 2006
  4. Abstract settings for tangential boundary stabilization of Navierâ??Stokes equations by high- and low-gain feedback controllersâ??
    Nonlinear Analysis, vol. 64, no. 12, pp. 2704–2746, 2006
  5. Stabilizing Semilinear Parabolic Equations
    Numerical Functional Analysis and Optimization, vol. 26, no. 4-5, pp. 449–480, 2005
  6. The Neumann Problem on Unbounded Domains of ℝ d and Stochastic Variational Inequalities
    Communications in Partial Differential Equations, vol. 30, no. 8, pp. 1217–1248, 2005
  7. Transactions of the American Mathematical Society, vol. 357, no. 07, pp. 2571–2612, 2005
  8. Ergodicity for Nonlinear Stochastic Equations in Variational Formulation
    Applied Mathematics and Optimization, vol. 53, no. 2, pp. 121–139, 2005
  9. Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 8, no. 3, p. 397, 2005
  10. Feedback stabilization of periodic solutions to nonlinear parabolic like evolution systems
    Indiana University Mathematics Journal, vol. 54, no. 6, pp. 1521–1546, 2005
  11. Infinite Dimensional Analysis, Quantum Probability and Related Topics, vol. 7, no. 2, p. 163, 2004
  12. Internal stabilization of Navier-Stokes equations with finite-dimensional controllers
    Indiana University Mathematics Journal, vol. 53, no. 5, pp. 1443–1494, 2004
  13. Existence for a time-dependent rainfall infiltration model with a blowing up diffusivity
    Nonlinear Analysis: Real World Applications, vol. 5, no. 2, pp. 231–245, 2004
  14. Internal stabilization of semilinear parabolic systems
    Journal of Mathematical Analysis and Applications, vol. 285, no. 2, pp. 387–407, 2003
  15. Internal stabilizability of the Navier–Stokes equations
    Systems & Control Letters, vol. 48, no. 3-4, pp. 161–167, 2003
  16. Exact controllability for the magnetohydrodynamic equations
    Communications on Pure and Applied Mathematics, vol. 56, no. 6, pp. 732–783, 2003
  17. Flow-invariant closed sets with respect to nonlinear semigroup flows
    NoDEA : Nonlinear Differential Equations and Applications, vol. 10, no. 1, pp. 57–72, 2003
  18. Navier-Stokes equation with hereditary viscosity
    Zeitschrift für Angewandte Mathematik und Physik (ZAMP), vol. 54, no. 3, pp. 449–461, 2003
  19. Carleman Estimates and Controllability of Linear Stochastic Heat Equations
    Applied Mathematics and Optimization, vol. 47, no. 2, pp. 97–120, 2003
  20. Feedback stabilization of semilinear heat equations
    Abstract and Applied Analysis, vol. 2003, no. 12, pp. 697–714, 2003
  21. The Stochastic Nonlinear Damped Wave Equation
    Applied Mathematics and Optimization, vol. 46, no. 2, pp. 125–141, 2002
  22. Probability Theory and Related Fields, vol. 124, no. 4, pp. 544–560, 2002
  23. Sur la stabilisabilité des équations de la chaleur stochastiques avec bruit multiplicatif
    Comptes Rendus Mathematique, vol. 334, no. 4, pp. 311–316, 2002
  24. Local controllability of the phase field system
    Nonlinear Analysis, vol. 50, no. 3, pp. 363–372, 2002
  25. A phase field system perturbed by noise
    Nonlinear Analysis, vol. 51, no. 6, pp. 1087–1099, 2002
  26. Journal of Optimization Theory and Applications, vol. 109, no. 3, pp. 557–585, 2001
  27. On the Controllability of the Lotka–McKendrick Model of Population Dynamics
    Journal of Mathematical Analysis and Applications, vol. 253, no. 1, pp. 142–165, 2001
  28. Flow Invariance Preserving Feedback Controllers for the Navier–Stokes Equation
    Journal of Mathematical Analysis and Applications, vol. 255, no. 1, pp. 281–307, 2001
  29. Exact Controllability of the Superlinear Heat Equation
    Applied Mathematics and Optimization, vol. 42, no. 1, pp. 73–89, 2000
  30. Extended algebraic Riccati equations in the abstract hyperbolic case
    Nonlinear Analysis, vol. 40, no. 1-8, pp. 105–129, 2000
  31. Null controllability of nonlinear convective heat equations
    Control, Optimisation and Calculus of Variations, vol. 5, pp. 157–173, 2000
  32. Journal of Optimization Theory and Applications, vol. 102, no. 1, pp. 1–14, 1999
  33. Optimal control of Navier-Stokes equations with periodic inputs
    Nonlinear Analysis, vol. 31, no. 1-2, pp. 15–31, 1998
  34. Existence for an implicit nonlinear differential equation
    Nonlinear Analysis, vol. 32, no. 1, pp. 33–40, 1998
  35. H â?? -control theory of fluid dynamics
    Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 454, no. 1979, pp. 3009–3033, 1998
  36. Transactions of the American Mathematical Society, vol. 349, no. 05, pp. 2035–2049, 1997
  37. The time optimal control of Navier-Stokes equations
    Systems & Control Letters, vol. 30, no. 2-3, pp. 93–100, 1997
  38. Optimal Control of the One-Dimensional Periodic Wave Equation
    Applied Mathematics and Optimization, vol. 35, no. 1, pp. 77–90, 1997
  39. Determining the Acoustic Impedance in the 1-D Wave Equation via an Optimal Control Problem
    SIAM Journal on Control and Optimization, vol. 35, no. 5, p. 1544, 1997
  40. Optimal Control of Linear Periodic Resonant Systems in Hilbert Spaces
    SIAM Journal on Control and Optimization, vol. 35, no. 6, p. 2137, 1997
  41. Identification of Nonlinear Elliptic Equations
    Applied Mathematics and Optimization, vol. 33, no. 2, pp. 139–167, 1996
  42. Periodic Optimal Control in Hilbert Space
    Applied Mathematics and Optimization, vol. 33, no. 2, pp. 169–188, 1996
  43. Periodic Solutions to One-Dimensional Wave Equation with Piece-Wise Constant Coefficients
    Journal of Differential Equations, vol. 132, no. 2, pp. 319–337, 1996
  44. Identification of nonlinear elliptic equations
    Applied Mathematics & Optimization, vol. 33, no. 2, pp. 139–167, 1996
  45. Periodic optimal control in Hilbert space
    Applied Mathematics & Optimization, vol. 33, no. 2, pp. 169–188, 1996
  46. Existence and asymptotic results for a system of integro-partial differential equations
    Nonlinear Differential Equations and Applications NoDEA, vol. 3, no. 1, pp. 1–18, 1996
  47. Optimal feedback controllers for periodic convex control problems
    Nonlinear Differential Equations and Applications NoDEA, vol. 3, no. 1, pp. 35–54, 1996
  48. SIAM Journal on Control and Optimization, vol. 33, no. 3, Article ID 0333034, 1995
  49. SIAM Journal on Control and Optimization, vol. 33, no. 4, Article ID 0333049, 1995
  50. SIAM Journal on Control and Optimization, vol. 32, no. 4, Article ID 0332048, 1994
  51. Controlling the moving boundary of the parabolic obstacle problem
    Applied Mathematics & Optimization, vol. 27, no. 3, pp. 213–230, 1993
  52. Optimal control problems with two-point boundary conditions
    Journal of Optimization Theory and Applications, vol. 77, no. 1, pp. 51–78, 1993
  53. H8-control for semilinear systems in Hilbert spaces
    Systems & Control Letters, vol. 21, no. 1, pp. 65–72, 1993
  54. SIAM Journal on Control and Optimization, vol. 29, no. 2, Article ID 0329024, 1991
  55. SIAM Journal on Control and Optimization, vol. 29, no. 3, Article ID 0329035, 1991
  56. SIAM Journal on Control and Optimization, vol. 29, no. 5, Article ID 0329061, 1991
  57. Controlling the spread of a class of epidemics
    Applied Mathematics & Optimization, vol. 20, no. 1, pp. 297–317, 1989
  58. The necessary conditions for optimal control in Hilbert spaces
    Journal of Mathematical Analysis and Applications, vol. 133, no. 1, pp. 151–162, 1988
  59. SIAM Journal on Control and Optimization, vol. 26, no. 3, Article ID 0326030, 1988
  60. Existence for minimization in Banach space with some applications
    Journal of Mathematical Analysis and Applications, vol. 121, no. 1, pp. 96–108, 1987
  61. Hamilton-Jacobi equations and nonlinear control problems
    Journal of Mathematical Analysis and Applications, vol. 120, no. 2, pp. 494–509, 1986
  62. Hamilton-Jacobi equations in Hilbert spaces; variational and semigroup approach
    Annali di Matematica Pura ed Applicata, vol. 142, no. 1, pp. 303–349, 1985
  63. A note on a Hamilton-Jacobi equation in Hilbert space
    Nonlinear Analysis, vol. 9, no. 12, pp. 1337–1345, 1985
  64. The time-optimal control problem for parabolic variational inequalities
    Applied Mathematics & Optimization, vol. 11, no. 1, pp. 1–22, 1984
  65. Hamilton-Jacobi equations and synthesis of nonlinear control processes in Hilbert spaces
    Journal of Differential Equations, vol. 48, no. 3, pp. 350–372, 1983
  66. Solution of the Bellman Equation Associated with an Infinite Dimensional Stochastic Control Problem and Synthesis of Optimal Control
    SIAM Journal on Control and Optimization, vol. 21, no. 4, p. 531, 1983
  67. SIAM Journal on Control and Optimization, vol. 21, no. 6, Article ID 0321053, 1983
  68. Existence and uniqueness of the dynamic programming equation in Hilbert space
    Nonlinear Analysis, vol. 7, no. 3, pp. 283–299, 1983
  69. SIAM Journal on Control and Optimization, vol. 20, no. 1, Article ID 0320010, 1982
  70. Necessary conditions for multiple integral problem in the calculus of variations
    Mathematische Annalen, vol. 260, no. 2, pp. 175–189, 1982
  71. Necessary conditions for nonconvex distributed control problems governed by elliptic variational inequalities
    Journal of Mathematical Analysis and Applications, vol. 80, no. 2, pp. 566–597, 1981
  72. SIAM Journal on Control and Optimization, vol. 19, no. 1, Article ID 0319006, 1981
  73. Existence and approximation for stationary Hamilton Jacobi equations
    Nonlinear Analysis, vol. 5, no. 11, pp. 1213–1224, 1981
  74. Existence for a nonlinear hyperbolic system
    Nonlinear Analysis, vol. 5, no. 4, pp. 341–353, 1981
  75. SIAM Journal on Control and Optimization, vol. 18, no. 2, Article ID 0318016, 1980
  76. Global existence for a nonlinear operator equation arising in synthesis of optimal control
    Nonlinear Analysis, vol. 4, no. 6, pp. 1157–1166, 1980
  77. Semilinear integro-differential equations in Hilbert space*1
    Journal of Mathematical Analysis and Applications, vol. 67, no. 2, pp. 452–475, 1979
  78. SIAM Journal on Mathematical Analysis, vol. 10, no. 3, Article ID 0510052, 1979
  79. Hamiltonian Systems in a Neighborhood of a Saddle Point
    Transactions of the American Mathematical Society, vol. 245, p. 291, 1978
  80. On convex control problems on infinite intervals*1
    Journal of Mathematical Analysis and Applications, vol. 65, no. 3, pp. 687–702, 1978
  81. SIAM Journal on Control and Optimization, vol. 16, no. 6, Article ID 0316062, 1978
  82. An existence result for a nonlinear boundary-value problem of hyperbolic type
    Nonlinear Analysis, vol. 1, no. 4, pp. 373–382, 1977
  83. SIAM Journal on Mathematical Analysis, vol. 8, no. 2, Article ID 0508025, 1977
  84. Constrained control problems with convex cost in Hilbert space
    Journal of Mathematical Analysis and Applications, vol. 56, no. 3, pp. 502–528, 1976
  85. Existence theorems for a class of two point boundary problems
    Journal of Differential Equations, vol. 17, no. 1, pp. 236–257, 1975
  86. SIAM Journal on Control and Optimization, vol. 13, no. 4, Article ID 0313044, 1975
  87. SIAM Journal on Control and Optimization, vol. 13, no. 5, Article ID 0313065, 1975
  88. SIAM Journal on Mathematical Analysis, vol. 6, no. 4, Article ID 0506064, 1975
  89. On the regularity of solutions of hyperbolic nonlinear equations
    Annali di Matematica Pura ed Applicata, Series 4, vol. 95, no. 1, pp. 303–319, 1973
  90. Asymptotic Behavior of Linear Integrodifferential Systems
    Transactions of the American Mathematical Society, vol. 173, p. 277, 1972
  91. Weak solutions for nonlinear functional equations in Banach spaces
    Annali di Matematica Pura ed Applicata, Series 4, vol. 87, no. 1, pp. 87–110, 1970